Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements

DOI10.1007/s43037-019-00017-1OpenAlexW2998763461MaRDI QIDQ2287450

Christopher S. Goodrich

Publication date: 20 January 2020

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-019-00017-1

zbMATH Keywords

coercivitynonlinear boundary conditionpositive solutionHammerstein integral equationnonlocal boundary condition

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Perturbations of nonlinear operators (47H14) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Positive solutions of integral equations (45M20)

Related Items (5)

Some sufficient conditions for compactness of linear Hammerstein integral operators and applications ⋮ Positive solutions of BVPs on the half-line involving functional BCs ⋮ On the solvability of a parameter-dependent cantilever-type BVP ⋮ An affine Birkhoff–Kellogg‐type result in cones with applications to functional differential equations ⋮ Topological analysis of doubly nonlocal boundary value problems

Cites Work

• Unnamed Item
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• Unnamed Item
• Positive solutions to fractional differential equations involving Stieltjes integral conditions
• Solutions of perturbed Hammerstein integral equations with applications
• On partial Hölder continuity and a Caccioppoli inequality for minimizers of asymptotically convex functionals between Riemannian manifolds
• A positive fixed point theorem with applications to systems of Hammerstein integral equations
• Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
• Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications
• Positive solutions to boundary value problems with nonlinear boundary conditions
• Existence of multiple positive solutions for a nonlocal boundary value problem.
• On nonlinear boundary conditions satisfying certain asymptotic behavior
• Existence of solutions for a cantilever beam problem
• Positive solutions of semilinear differential equations with singularities
• The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems
• Radially symmetric solutions of elliptic PDEs with uniformly negative weight
• Non-negative solutions of systems of ODEs with coupled boundary conditions
• Existence of three solutions for a first-order problem with nonlinear nonlocal boundary conditions
• Coercive nonlocal elements in fractional differential equations
• New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function
• Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions
• Existence and nonexistence results for positive solutions of an integral boundary value problem
• Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• A cantilever equation with nonlinear boundary conditions
• Non-local boundary value problems of arbitrary order
• Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
• Nonlinear perturbed integral equations related to nonlocal boundary value problems
• Differential equations with general boundary conditions

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